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1 Journal of Theoretical and Applied Mechanics

1 2023

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An energy method for predicting and suppressing the instability of a three-dimensional thermoacoustic coupling system with a micro-perforated plate

Xing Xue, Ma Bingjie, Du Jingtao, Liu Yang, Liu Zhigang, Han Xiao

Journal of Theoretical and Applied Mechanics

2023

Vol. 61 nr 4

755--768

The Micro-Perforated Plate (MPP) is widely used in the noise control field with advantages of high temperature resistance and being suitable for high-speed flow fields. In this paper, an analytical model of the three-dimensional thermoacoustic coupling system suppressed by the MPP is established through the energy principle and Rayleigh-Ritz method. A modified Fourier series will be applied to characterize the sound pressure distribution function to meet arbitrary impedance boundary conditions. Based on the sound intensity and divergence, the energy transmission path and distribution law of energy sources and traps are analyzed. The suppression mechanism of a MPP on the thermoacoustic instability is revealed.